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- Publisher
- de Gruyter
- Copyright
- © de Gruyter 2009
- ISSN
- 0928-0219
- eISSN
- 1569-3945
- DOI
- 10.1515/JIIP.2009.044
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we investigate the identification of the time-dependent perfusion coefficient in the transient bio-heat conduction equation. Apart from the usual initial and Dirichlet/Neumann boundary conditions, in this inverse coefficient identification problem the additional measurement information to render a unique solution is represented by the time history of a heat flux/boundary temperature. Several necessary and sufficient conditions for the existence and uniqueness of the solution are provided.
Journal
Journal of Inverse and Ill-Posed Problems – de Gruyter
Published: Nov 1, 2009
Keywords: Bio-heat equation; perfusion coefficient; inverse problem